Arrangements of singularities and proper partitions of Dynkin diagrams

  • Piotr Jaworski
Conference paper
Part of the Progress in Mathematics book series (PM, volume 109)


We associate to every isolated singularity of an analytic function and to every tame polynomial a bilinear form, namely the intersection form (.,.) in the vanishing homology group H.


Homology Group Dynkin Diagram Cyclic Change Distinguished Base Simple Singularity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    V.I. Arnold, S.M. Gusein-Zade, A.N. Varchenko, Singularities of Differen-tiable Maps v.2, Birkhauser 1988.Google Scholar
  2. [2]
    S.A. Broughton, On the topology of polynomial hypersurfaces. In: Singularities. Proc. of Symposia in pure math. 40/1 (1983) 167–178.MathSciNetGoogle Scholar
  3. [3]
    S.M. Gusein-Zade, Distinguished bases of simple singularities. Funct. Analiz 14:4 (1980) 73–74 (in Russian).(Func. Anal. Appl. 14:4 (1980) 307–308 English tr.)MathSciNetGoogle Scholar
  4. [4]
    P. Jaworski, Distribution of critical values of miniversal deformations of parabolic singularities. Invent. math. 86 (1986) 19–33.CrossRefzbMATHMathSciNetGoogle Scholar
  5. [5]
    P. Jaworski, Decomposition of parabolic singularities. Bull. Sc. math. 112 (1988) 143–176.zbMATHMathSciNetGoogle Scholar
  6. [6]
    P. Jaworski, Decompositions of hyperbolic singularities, to appear.Google Scholar
  7. [7]
    O.V. Lyashko, Decompositions of simple singularities of functions. Funct. Analiz 10:2 (1976) 49–56 (in Russian).Google Scholar

Copyright information

© Birkhäuser Boston 1993

Authors and Affiliations

  • Piotr Jaworski
    • 1
  1. 1.Institute of MathematicsUniversity of WarsawWarszawaPoland

Personalised recommendations